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1097115840 = 263654703
BaseRepresentation
bin100000101100100…
…1010100011000000
32211110102021000000
41001121022203000
54221330201330
6300511000000
736121221312
oct10131124300
92743367000
101097115840
11513325407
12267509000
131463b0c92
14a59cb7b2
15664b6560
hex4164a8c0

1097115840 has 196 divisors, whose sum is σ = 3917801664. Its totient is φ = 292502016.

The previous prime is 1097115827. The next prime is 1097115853. The reversal of 1097115840 is 485117901.

1097115840 is a `hidden beast` number, since 1 + 0 + 9 + 71 + 1 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1097115827) and next prime (1097115853).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1097115795 and 1097115804.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 230929 + ... + 235631.

It is an arithmetic number, because the mean of its divisors is an integer number (19988784).

Almost surely, 21097115840 is an apocalyptic number.

1097115840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958900832).

1097115840 is an abundant number, since it is smaller than the sum of its proper divisors (2820685824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1097115840 is an frugal number, since it uses more digits than its factorization.

1097115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1097115840 is about 33122.7390171767. The cubic root of 1097115840 is about 1031.3771254852.

The spelling of 1097115840 in words is "one billion, ninety-seven million, one hundred fifteen thousand, eight hundred forty".